An explicit upper bound for Weil-Petersson volumes of the moduli spaces of punctured Riemann surfaces

DOI10.1007/PL00004496zbMath0998.32008OpenAlexW2020577967MaRDI QIDQ5949430

Samuel Grushevsky

Publication date: 17 November 2002

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00004496

zbMATH Keywords

Teichmüller spacemoduli space\(\lambda\)-lengthdecorated Teichmüller spaceWeil-Petersson form

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60)

Related Items (7)

Large genus asymptotics for lengths of separating closed geodesics on random surfaces ⋮ Large genus bounds for the distribution of triangulated surfaces in moduli space ⋮ Pants decompositions of random surfaces ⋮ Growth of the Weil-Petersson diameter of moduli space ⋮ Towards large genus asymptotics of intersection numbers on moduli spaces of curves ⋮ Lengths of closed geodesics on random surfaces of large genus ⋮ Kontsevich-Witten model from \(2+1\) gravity: new exact combinatorial solution

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